Number of Neutrosophic Topological Spaces on Finite Set with k ≤ 4 Open Sets

Authors

  • Bhimraj Basumatary Department of Mathematical Sciences, Bodoland University, Kokrajhar;
  • Jili Basumatary Department of Mathematical Sciences, Bodoland University, Kokrajhar;

Keywords:

Neutrosophic Set; Neutrosophic Topology; Two Open Set; Three Open Set; Four Open Set.

Abstract

In this paper, the number of neutrosophic topological spaces having two, three, and four open sets
are computed for a finite set X
NT whose membership values lies in MNT . Further, the number of neutrosophic
bitopological spaces and neutrosophic tritopological spaces having k(k = 2, 3, 4) neutrosophic open sets on finite
sets are computed.

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Published

2023-01-01

Issue

Vol. 53 (2023): Neutrosophic Sets and Systems

Section

SI#1,2024: Neutrosophical Advancements And Their Impact on Research

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

 Creative Commons Attribution (CC BY) license.

How to Cite

Bhimraj Basumatary, & Jili Basumatary. (2023). Number of Neutrosophic Topological Spaces on Finite Set with k ≤ 4 Open Sets. Neutrosophic Sets and Systems, 53, 508-518. https://fs.unm.edu/nss8/index.php/111/article/view/3241